FACTS  AND  FORMULAE  FOR  AVERAGE QUESTIONS

 

 

1. Average =Sum of observationsNo. of observations

2. Suppose a man covers a certain distance x kmph and an equal distance at y kmph. Then, the average speed during the whole journey is2xyx+yKmph

Q:

The average of 5 members of a family is 24 years. If the youngest member is 8 years old, then what was the average age (in years) of the family at the time of the birth of the youngest member?

A) 16 B) 20
C) 24 D) 30
 
Answer & Explanation Answer: B) 20

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Q:

A canteen requires 56 kgs of rice for seven days . The quantity of rice required for the months of April and May together is

A) 468 kg B) 488 kg
C) 498 kg D) 508 kg
 
Answer & Explanation Answer: B) 488 kg

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Q:

The average weight of P, Q and R is 47 kg. If the average weight of P and Q be 32.5 kg and that of Q and R be 48.5 kg, then what is the weight of Q (in kgs)?

A) 25 B) 29
C) 21 D) 33
 
Answer & Explanation Answer: C) 21

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Q:

The mean of 10 observations is 13. Two more observations are included and the new mean becomes 14. The mean of two new observations is

 

A) 19 B) 18
C) 17 D) 16
 
Answer & Explanation Answer: A) 19

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Q:

After 10 innings the average score per innings of a batsman was 52. After 12 innings the average rose to 54. If the batsman had scored 16 more runs in the 12th innings than in the previous one, how many runs did he score in the 11th innings?

 

 

A) 55 B) 56
C) 54 D) 53
 
Answer & Explanation Answer: B) 56

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Q:

19 personswentto a hotel for a combineddinner party. 13 of them spent Rs 79 each on their dinner and the rest spent Rs 4 more than the average expenditure of all the 19. What was the total money spent by them?

A) 1628.4 B) 1534
C) 1492 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

Let the average expenditure of 19 people be x

⇒19x = 13 X 79 + 6 X (x+4)⇒19x = 13 X 79 + 6x +24

⇒x = 80.84

So, total money spent by them = 1536.07

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Q:

The average of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th innings so that his average of runs in 100 innings may be 100?

A) 100 B) 99
C) 199 D) 101
 
Answer & Explanation Answer: C) 199

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Q:

In a cricket match, the scores of the players are considered such that coefficient of variation of scores is 16 and mean is 25 then the variance is

 

A) 12 B) 8
C) 16 D) 4
 
Answer & Explanation Answer: C) 16

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